3 papers
math.AT2026
The Galois theory of -spectra and the Burnside ring
Niko Naumann, Luca Pol, Maxime Ramzi
We prove that the Galois groupoid of the category of -spectra for a finite group is algebraic, i.e. equivalent to the étale fundamental groupoid of the Burnside ring of …
math.AT2026
Separable commutative algebras in equivariant homotopy theory
Niko Naumann, Luca Pol, Maxime Ramzi
Given a finite group and a commutative ring -spectrum , we study the separable commutative algebras in the category of compact -modules. We isolate three conditions on…
math.AT2024
Quillen stratification in equivariant homotopy theory
Tobias Barthel, Natalia Castellana, Drew Heard +2
We prove a version of Quillen's stratification theorem in equivariant homotopy theory for a finite group , generalizing the classical theorem in two directions. Firstly, we work…